What is the solution for 3xdx+4ydy=0 ?

The solution for 3xdx+4ydy=0 is y=(sqrt(-3x^2+c_{1)})/2 ,y=-(sqrt(-3x^2+c_{1)})/2

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3xdx+4ydy=0

3 x d x + 4 y d y = 0

y = \frac{- 3 x ^{2} + c _{1}}{2}, y = - \frac{- 3 x ^{2} + c _{1}}{2}

Solution steps

3 x d x + 4 y d y = 0

Solve separable ODE:

y = \frac{- 3 x ^{2} + c _{1}}{2}, y = - \frac{- 3 x ^{2} + c _{1}}{2}

y = \frac{- 3 x ^{2} + c _{1}}{2}, y = - \frac{- 3 x ^{2} + c _{1}}{2}

\frac{d}{d x} (\frac{x}{x + 9})

\frac{d}{d x} ((x^{2} - 9)^{2})

(- 5, 5), (5, - 2)

x \to 0 + lim (x^{\frac{9}{x}})

What is the solution for 3xdx+4ydy=0 ?
The solution for 3xdx+4ydy=0 is y=(sqrt(-3x^2+c_{1)})/2 ,y=-(sqrt(-3x^2+c_{1)})/2